JEE Math Practice Question

Let PQ be a focal chord of the parabola y2 = 4x such that it subtends an angle of $${\pi \over 2}$$ at the point (3, 0). Let the line segment PQ be also a focal chord of the ellipse $$E:{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$, $${a^2} > {b^2}$$. If e is the eccentricity of the ellipse E, then the value of $${1 \over {{e^2}}}$$ is equal to :

1. A.$$1 + \sqrt 2 $$
2. B.$$3 + 2\sqrt 2 $$
3. C.$$1 + 2\sqrt 3 $$
4. D.$$4 + 5\sqrt 3 $$